Cremona's table of elliptic curves

1710 = 2 · 3² · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 19+	Signs for the Atkin-Lehner involutions
Conductor	1710	Conductor
Count	4	Number of curves in isogeny class
Curves	1710d1 1710d2 1710d3 1710d4	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  4  4 -2  2 19+	Hecke eigenvalues for primes less than 20
L	1.4848404110562	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	13680bh 54720co 570m 8550ba	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1710d

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	+	4	4	-2	2	+	8	-6	4	-10	2	12	0	-6	0	-10	-4	8	2	-12	8	-6	18

---

Quadratic twists for isogeny class 1710d

-4	8	-3	5	-7	-19
13680bh	54720co	570m	8550ba	83790ck	32490bp

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations